Think you’ve got your head wrapped around **Squares and Square Roots**? Put your knowledge to
the test. Good luck — the Stickman is counting on you!

Q. Which of the following is **not** a quadratic equation?

5*x*^{2} – 5 = 17

Q. If the polynomial 4*x*^{2} + 9*x* + *c* is the square of binomial of degree 1, what is *c*?

A rarely used type of battery

Q. The polynomial *x*^{2} + 11*x* + *c* is the square of which binomial?

Q. How many solutions are there to the equation *x*^{2} + 12*x* = -36?

none

one

two

infinitely many

more than I care to think about

Q. How many solutions are there to the equation *x*^{2} – 4*x* = 17?

none

one

two

infinitely many

fourteen-ish

Q. Solve: *x*^{2} + 14*x* + 40 = -5.

This equation has no solutions.

Q. Solve, assuming that *a*, *b*, *c* are constants and *c* is not zero: *cx*^{2} + *ax* + *b* = 0.

Q. Solve: 2*x*^{2} + 5*x* + 3 = 7.

This equation has no solutions.

Q. If the quadratic equation *ax*^{2} + *bx* + *c* = 0 has discriminant 0, how many solutions does the equation have?

none

one

two

infinitely many

oh so many

Q. A student was asked to solve the equation 3*x*^{2} + 10*x* – 11 = 0. They wrote down the following work.

Where, if anywhere, did the student make their first mistake?

In line 1.

In getting from line 2 to line 3.

In getting from line 3 to line 4.

Filling out their name.

The student made no mistakes.